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Finding the Fourth Proportional to 23,535, 35,302.28 and 6,004.58

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Solution

The fourth proportional to 23,535, 35,302.28 and 6,004.58 is: 9,006.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,535 : 35,302.28 = 6,004.58 : x
  2. Step 2: Convert to fraction form
    23,535/35,302.28 = 6,004.58/x
  3. Step 3: Cross multiply
    23,535x = 35,302.28 × 6,004.58
  4. Step 4: Simplify right side
    23,535x = 211,975,364.44
  5. Step 5: Solve for x
    x = 211,975,364.44/23,535
  6. Step 6: Final answer
    x = 9,006.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.